2004
DOI: 10.1021/jp0375057
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On the Calculation of Diffusion Coefficients in Confined Fluids and Interfaces with an Application to the Liquid−Vapor Interface of Water

Abstract: We propose a general methodology for calculating the self-diffusion tensor from molecular dynamics for a liquid with a liquid-gas or liquid-solid interface. The standard method used in bulk fluids, based on computing the mean square displacement as a function of time and extracting the asymptotic linear time dependence from this, is not valid for systems with interfaces or for confined fluids. The method proposed here is based on imposing virtual boundary conditions on the molecular system and computing surviv… Show more

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Cited by 369 publications
(505 citation statements)
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References 29 publications
(39 reference statements)
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“…Finally, a modified Einstein relation provides the local in-plane diffusion coefficient. 46 Plotting 〈∆r b(τ) 2 〉 {z} /4P(τ) vs τ results in a straight line with a slope equal to D || (z):…”
Section: Resultsmentioning
confidence: 99%
“…Finally, a modified Einstein relation provides the local in-plane diffusion coefficient. 46 Plotting 〈∆r b(τ) 2 〉 {z} /4P(τ) vs τ results in a straight line with a slope equal to D || (z):…”
Section: Resultsmentioning
confidence: 99%
“…Instead, we developed a general methodology to evaluate the diffusion coefficients in an inhomogeneous liquid or a confined liquid. 40 The diffusion coefficient in the interface can be reduced to a component parallel to the surface D xx ) D yy ) 0.8 Å 2 /ps (f ) 2) and a component perpendicular to the surface D z ) 0.5 Å 2 /ps (f ) 1), 40 as seen in Figure 5. For the bulklike region, D xx ) D yy ) D zz ) 0.22 Å 2 /ps, which is similar to the experimental result of Conditional hydrogen-bond autocorrelation after eliminating the effect of diffusion for the bulk and the interface for the TIP4P/FQ water model.…”
Section: Resultsmentioning
confidence: 99%
“…26,32 The cut-off distances are 3.1, 3.5, 3.6, and 3.9 Å for sodium, potassium, chloride, and iodide, respectively. To find the diffusion constants in the various regions relative to the ions, we modified the method of Liu, Harder, and Berne, 39 developed for calculating diffusion constants near interfaces. The diffusion constants are found from the mean square displacements of the center-of-mass of the water molecules in region A.…”
Section: Methodsmentioning
confidence: 99%